Finite difference analysis of time-dependent spherical problems

Author

Momoh, Omonowo D. ; Sadiku, Matthew N. ; Musa, Sarhan M.

Author_Institution

Coll. of Eng., Technol., & Comput. Sci., Indiana Univ.-Purdue Univ. (IPFW), Fort Wayne, IN, USA

fYear

2013

fDate

4-7 April 2013

Firstpage

1

Lastpage

4

Abstract

Finite difference (FD) method has been used extensively in electromagnetic field modeling because of its ability to robustly handle interactions of field with complex heterogeneous structures. In this paper, we implement the use of explicit finite difference method to solve time-dependent problem in spherical coordinates system. We present results in one dimensional (1-D) and two-dimensional (2-D) that agree with the exact solutions. The study also shows the impact of the changes in the mesh size of each of the spherical coordinates on the accuracy of the FD results.

Keywords

computational electromagnetics; electromagnetic field theory; finite difference methods; electromagnetic field modeling; explicit finite difference method; spherical coordinates system; time-dependent spherical problem; Accuracy; Educational institutions; Equations; Finite difference methods; Heating; Partial differential equations; Temperature distribution; 1-D and 2-D spherical problems; Explicit finite difference method; parabolic or heat equation; spherical coordinates;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon, 2013 Proceedings of IEEE

Conference_Location

Jacksonville, FL

ISSN

1091-0050

Print_ISBN

978-1-4799-0052-7

Type

conf

DOI

10.1109/SECON.2013.6567468

Filename

6567468